 |
|
|
|
|
|
|
|
|
Division with and without units |
2004-09-17 |
|
From Kenneth:
What does it indicate when the divisor has units (dollars) but not the dividend, as in 500/$10.00 or 500 is divided by $10.00?
Are the units understood to be there? Does 500/$10.00 make sense?
Answered by Penny Nom. |
|
|
|
|
|
|
The length of a cut |
2004-09-17 |
|
From Florita:
My daughhter, who is a 9th grader is attempting to cut a piece of wood after determining the length of the cut for the hypotenuse. These are the measures:
a=4squared, b=6squared.
She determined that c should equal 52. But when she measured the actual piece to be cut, c measured 39.5 inches! Can you offer any insight as to what she is doing wrong? I have suggested that she may be working with an Acute rather than a Right angle . But she insists that it is a Right angle after using a "framing square".
Answered by Claude Tardif. |
|
|
|
|
|
|
Pizza for Jack? |
2004-09-16 |
|
From Grace:
Jack is playing pool with Jim for $1 a game. He has only $2 and decides to play until he goes broke or has $5, at which point he will quit and go out for a pizza with Jim(Dutch treat). Jack knows from past experience that he beats Jim 60% of the time. What is the probability that Jack will get to eat pizza? Hints: Let A be the 6x6 matrix defined by A=[aij], where aij is the probability that Jack will have $(i-1)after one game is he starts with $(j-1). For example, a23 - .40 since there is a 40% probability that Jack will end up with $1 after a game is he starts the game with $2 (If Jack wins 605 of the time, he must lose 40% of the time). Also, for example, a52 = 0 since there is no way jack can have $4 after one game if he had $1 at the beginning of the game. Since Jack will stop if he goes broke or accumulates $5, a11 and a66 are both 1.
Let x0 = [0 0 1 0 0 0 ] transposed, which we interpret as saying that initially Jack has $2 with a probability 1. Then Ax0 will represent the porbability of each amount of money, $0-$5, after one game. What is the probability that Jack will be able to eat pizza by computing Akx0 for large k and finding a limiting value.
Answered by Penny Nom. |
|
|
|
|
|
|
Volume |
2004-09-16 |
|
From Jonathan:
I have an area of 22ft x 43 ft, 6 inches high
Sq. ft..946
sq. yds...105.1
What is the cubic feet and cubic yards for this dimension.
Answered by Penny Nom. |
|
|
|
|
|
|
S is between T and V |
2004-09-16 |
|
From Reuben:
S is between T and V. R is between S and T. T is between R and Q.
QV=18 QT=6 and TR = RS = SV Make a sketch and answer the following:
Find RS QS TS TV
Answered by Penny Nom. |
|
|
|
|
|
|
The game of 24 |
2004-09-16 |
|
From Angelica:
how can you make 24 out of 7,7,6,5?
Answered by Claude Tardif. |
|
|
|
|
|
|
Finding the height of a triangle |
2004-09-14 |
|
From A student:
I have to calculate the height of a triangle.
The base is 6 (units)say ab
One of the top sides is 4 (units)say ca
The other side is 2 (units) say cb
I don't know the angles.
How to find the height?
Answered by Chris Fisher and Penny Nom. |
|
|
|
|
|
|
The game of 24 |
2004-09-14 |
|
From Alan:
I was playing that math 24 game and i cant get 21,14,2,2 to equal 24
Answered by Claude Tardif. |
|
|
|
|
|
|
Crossword math puzzle |
2004-09-14 |
|
From Joyce and Tiffany:
The puzzle name was real number vocabulary and the question is (a number that divides evenly into another what is it?). (Space in between tic-marks on a number line).
Answered by Harley Weston. |
|
|
|
|
|
|
Payment plus interest |
2004-09-14 |
|
From Penny:
Brian wants to borrow some money from Margaret.
After three years he is to pay X back plus one interest sum of 25%. If he is pays back a total of $3800, what was the original sum borrowed?
Answered by Penny Nom. |
|
|
|
|
|
|
differentiate Y=X^X^X |
2004-09-13 |
|
From Kunle:
differentiate Y=X^X^X
Answered by Penny Nom. |
|
|
|
|
|
|
Making a pyramid |
2004-09-12 |
|
From Jacob:
My name is Jacob and I am a 11th grade student trying to build a pyramid for a friend but I need a chart of some sort to show me the measurements (I learn better w\pictures) it is a square base with 18 in sides and I want the vertex to be 18in above the base I need to know as many measurements as you can give me.
Answered by Penny Nom. |
|
|
|
|
|
|
A copper sphere |
2004-09-12 |
|
From Irfan:
The radius of a copper sphere is 3cm. If a wire of 0.4 diameter is drawn by melting it,what is the length of this wire?
Answered by Penny Nom. |
|
|
|
|
|
|
Three word problems |
2004-09-12 |
|
From Adrian:
1. Increasing area
of a field: Julia's soybean field is 3m longer than it is wide. To
increase her production, she plans to increase her to increase both the
length and width by 2m. If the new field is 46m2(2nd power) larger
than the old field, then what are the dimensions of the old field?
2. Width of a Football Field: If the perimeter of a football
field in the NFL including the end zones is 1040 ft and the field is
120 yd long, then what is the width of the field in feet?
3. Fencing dog pens Clint is constructing two adjacent rectangular
dog pens. Each pen will be three times as long as it is wide, and the
pens will share a common long side. If Clint has 65 ft of fencing, what
are the dimensions of each pen?
Answered by Penny Nom. |
|
|
|
|
|
|
Number combinations |
2004-09-10 |
|
From Angela:
I need the number of possible number combinations, both 3 and 4 digit, from 0-59
I know that 0-9 has 10000 combinations for 4 digits
I also know that 0-9 has 1000 combinations for 3 digits
Perhaps you could explain an easier way to figure this out rather than writing all these numbers down??
Answered by Penny Nom. |
|
|
